MathematicsUniversal
All-in-One Percentage Calculator
Solve any percentage problem instantly. Easily calculate percentage of a number, percentage increase/decrease, and relative differences with complete mathematical steps.
Percentage Intent
What is
%
of?Calculated Result
30
(20 ÷ 100) × 150 = 30
20% of 150 is equal to 30
Mathematical Formula: Percentage Formulas
X% of Y = (X / 100) × Y | % Change = [(Y - X) / |X|] × 100
Standard percentage multiplication and proportional relative difference equations.
How to Use This Calculator
- 1Choose your calculation mode: Percentage of a number, What percent is X of Y, or Percentage Increase/Decrease.
- 2Enter your values in the input fields.
- 3View the instant result, mathematical expression, and human-readable explanation.
Practical Example: Percentage Increase Example
Scenario: Revenue increased from $45,000 to $63,000.
Initial Value:45,000
Final Value:63,000
Result: 40.0% Increase (+18,000 Difference)
(63,000 - 45,000) / 45,000 × 100 = 40.0% growth.
Frequently Asked Questions
Subtract the initial number from the final number, divide that difference by the original number, and multiply by 100.
Pro Calculation Tips
- To quickly find 15% of a number, find 10% (move decimal 1 space) and add half of that amount.
Model Assumptions
- Cannot calculate percentage change when starting value is zero due to division by zero.